Question: 2. (a) Find a power series representation about a = 0 (that is the Maclaurin series) for the function f(x) = (x^2)/(2 + x^4) and

(a) Find a power series representation about a = 0 (that is the Maclaurin series) for the function f(x) = (x^2)/(2 + x^4) and determine the radius of convergence.

(b) Evaluate the indefinite integral. (x^2)/(2 + x^4) dx as a power series with a = 0 and indicate the radius of convergence.

Please explain which tests are used.

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